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Cong, Thien Tran; Sato, Masako

One-dimensional random walk with unequal step lengths restricted by an absorbing barrier. (English) Zbl 0485.60065

Discrete Math. 40, 153-162 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 4 Documents

MSC:

60G50 Sums of independent random variables; random walks

Keywords:

absorption probabilities; single absorbing barrier
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References:

[1] Feller, W., An Introduction to Probability Theory and Its Applications (1968), Wiley: Wiley New York · Zbl 0155.23101
[2] Gould, H. W., Some generalizations of Vandermonde’s convolution, Am. Math. Monthly, 63, 84-91 (1956) · Zbl 0072.00702
[3] Rogers, D. G., A Schröder triangle: Three combinatorial problems, (Combinatorial Mathematics V: Proc. Fifth Austrian Conference, 622 (1977), Springer-Verlag: Springer-Verlag Berlin), 175-196, Lecture Notes in Math. · Zbl 0368.05004
[4] Rogers, D. G., Pascal triangles, Catalan numbers and renewal arrays, Discrete Math., 22, 301-310 (1978) · Zbl 0398.05007
[5] Sands, A. D., Note on generalized Catalan numbers, Discrete Math., 21, 219-221 (1978) · Zbl 0404.05006
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